O A webassign.net/web/Student/Assignment Responses/fast dep 16412601 The speed o

Question

O A webassign.net/web/Student/Assignment Responses/fast dep 16412601 The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 10 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection. E Part (a) In words, define the Random Variable X the number of cars driving below 35 mph through the intersection the speed·in mph, of an individual car passing through the intersection the number of cars passing through the ntersection O the time, in seconds, it takes a car to pass through the intersection E Part (b) Give the distribution of X

Explanation / Answer

a) the speed in mph of an individual car passing through intersection

b)X~U(10,35)

f(X) =1/25    where 10<=X<=35

e) mean =(10+35)/2 =22.5

f)std deviaiton =(35-10)/(12)1/2 =7.22

g)P(X<27)=(27-10)/25=0.68

h)P(16<X<23)=(23-16)/25=0.28

i)

what is the probability that the speed of a car is between 20 and 58 mph.

probability =(35-20)/25 =0.6

j) 80th percentile =10+0.8*(35-10)=30

k)this means that 65% of the time ; the speed is less then 26.25 mph........

l)

P(X>25|X>14)=(35-25)/(35-14)=10/21

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